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Functions

Solve the fol...

Question

Solve the following inequality:
$\sqrt{x^{2} + 1} > x - 1.$

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Solution

$\sqrt{x^{2} + 1} > x - 1$
Squarring both sides
$x^{2} + 1 > x^{2} - 2 x + 1$
$- 2 x < 0$
$x > 0$
$x ϵ (0, \infty)$

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